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Sean is reading a book and only had 4/5 of the book left. On friday he read 1/4 of what he had left. What fractional part of the book did he read on friday?

Answer :

He read 1/5 of the book on Friday

Here, we want to get the fraction of the book read on a particular day

From the question, we are told that 4/5 was left and 1/4 of this was what he read

For convenience sake, let us have a specific number of pages for the book

Let the number of pages the book have be 200

He has 4/5 unread

The number of pages left to read will be;

[tex]\frac{4}{5}\times200\text{ = 160}[/tex]

Now, he proceeded to read 1/4 of this

The number read will thus be;

[tex]\frac{1}{4}\times160\text{ = 40}[/tex]

Now, we want to calculate the fraction of the book that corresponds to this

Mathematically, that would be;

[tex]\frac{40}{200}\text{ = }\frac{1}{5}[/tex]

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